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We present a lattice QCD calculation of the nucleon electric polarizabilities at the physical pion mass. Our findings reveal the substantial contributions of the $N\pi$ states to these polarizabilities. Without considering these…

High Energy Physics - Lattice · Physics 2024-09-02 Xuan-He Wang , Zhao-Long Zhang , Xiong-Hui Cao , Cong-Ling Fan , Xu Feng , Yu-Sheng Gao , Lu-Chang Jin , Chuan Liu

We use chiral perturbation theory to study the extraction of pion electromagnetic polarizabilities from lattice QCD. Chiral extrapolation formulae are derived for partially quenched QCD, and quenched QCD simulations. On a torus, volume…

High Energy Physics - Lattice · Physics 2008-11-26 Jie Hu , Fu-Jiun Jiang , Brian C. Tiburzi

We report on recent results for the pion matrix element of the twist-2 operator corresponding to the average momentum of non-singlet quark densities. For the first time finite volume effects of this matrix element are investigated and come…

High Energy Physics - Lattice · Physics 2009-11-10 I. Wetzorke , M. Guagnelli , K. Jansen , F. Palombi , R. Petronzio , A. Shindler

We study the pion-nucleon system in s-wave in the framework of lattice QCD in order to gain new information on the nucleon excited states. We perform simulations for $n_f =2$ mass degenerate light quarks at a pion mass of 266 MeV. The…

High Energy Physics - Lattice · Physics 2013-04-19 C. B. Lang , V. Verduci

The neutron-neutron scattering length a_nn provides a sensitive probe of charge-symmetry breaking in the strong interaction. Here we summarize our recent efforts to use chiral perturbation theory in order to systematically relate a_nn to…

Nuclear Theory · Physics 2009-04-17 A. Gardestig , D. R. Phillips

The magnetic polarizability of the neutral pion has been calculated in the background magnetic-field formalism of Lattice QCD. In this investigation, the chiral extrapolation of these lattice results is considered in a formalism preserving…

Nuclear Theory · Physics 2021-01-04 Fangcheng He , D. B. Leinweber , A. W. Thomas , P. Wang

As increased statistics and new ensembles with light pions have become available within the CLS effort, we complete previous work by inspecting the chiral behaviour of the pion decay constant. We discuss the validity of Chiral Perturbation…

High Energy Physics - Lattice · Physics 2013-11-26 Stefano Lottini

The nucleon isovector electromagnetic form factors are calculated up to next-to-next-to-leading order by combining relativistic chiral perturbation theory (ChPT) of pion, nucleon, and $\Delta$(1232) with dispersion theory. We specifically…

High Energy Physics - Phenomenology · Physics 2023-12-18 Fernando Alvarado , Di An , Luis Alvarez-Ruso , Stefan Leupold

A calculational scheme for obtaining the electric polarizability of the neutron in lattice QCD with dynamical quarks is developed, using the background field approach. The scheme differs substantially from methods previously used in the…

High Energy Physics - Lattice · Physics 2008-11-26 Michael Engelhardt

Flagship neutrino oscillation experiments depend on precise and accurate theoretical knowledge of neutrino-nucleon cross sections across a variety of energies and interaction mechanisms. Key ingredients to the amplitudes that make up these…

High Energy Physics - Lattice · Physics 2026-01-07 Aaron S. Meyer

We develop chiral perturbation theory for baryons in quenched QCD. Quenching (the elimination of diagrams containing virtual quark loops) is achieved by extending the Lagrangian method of Bernard and Golterman, and is implemented in a…

High Energy Physics - Lattice · Physics 2009-10-28 James N. Labrenz , Stephen R. Sharpe

We consider a lattice-inspired random matrix model for the QCD chiral phase transition at finite chemical potential. Useful features of the usual RMM for QCD at finite chemical potential are reobtained, some being brought closer to their…

High Energy Physics - Lattice · Physics 2007-05-23 M. A. Halasz

We present an exploratory lattice study of $B\to\pi$ semileptonic decay form factors using the nonrelativistic lattice QCD for heavy quark with Wilson light quark on a $16^3 \times 32$ quenched lattice at $\beta=5.8$. The matrix elements…

High Energy Physics - Lattice · Physics 2009-10-30 S. Hashimoto , K-I. Ishikawa , H. Matsufuru , T. Onogi , N. Yamada

We construct the vector and axial vector currents in Wilson Chiral Perturbation Theory (WChPT), the low-energy effective theory for lattice QCD with Wilson fermions. Our construction is slightly different compared to ChPT in continuum QCD,…

High Energy Physics - Lattice · Physics 2009-04-14 Sinya Aoki , Oliver Bar

Compared in this work are a few sets of results, obtained from the pion-nucleon ($\pi N$) data at low energy (pion laboratory kinetic energy up to $100$ MeV) on the basis of the modelling of the $s$- and $p$-wave $K$-matrix elements (or of…

Nuclear Theory · Physics 2022-06-07 Evangelos Matsinos

In 2 + 1 flavour lattice QCD the spectrum of the nucleon is presented for both parities using local meson-baryon type interpolating fields in addition to the standard three-quark nucleon interpolators. The role of local five-quark operators…

High Energy Physics - Lattice · Physics 2015-07-09 Adrian L. Kiratidis , Waseem Kamleh , Derek B. Leinweber , Benjamin J. Owen

We evaluate by means of lattice QCD calculations the low-energy constant $\ell_{7}$ which parametrizes strong isospin effects at NLO in $\rm{SU}(2)$ chiral perturbation theory. Among all low-energy constants at NLO, $\ell_{7}$ is the one…

High Energy Physics - Lattice · Physics 2021-10-27 R. Frezzotti , G. Gagliardi , V. Lubicz , G. Martinelli , F. Sanfilippo , S. Simula

We calculate the strange quark content of the nucleon in 2+1-flavor lattice QCD. Chirally symmetric overlap fermion formulation is used to avoid the contamination from up and down quark contents due to an operator mixing between strange and…

High Energy Physics - Lattice · Physics 2015-03-20 JLQCD Collaboration , H. Ohki , K. Takeda , S. Aoki , S. Hashimoto , T. Kaneko , H. Matsufuru , J. Noaki , T. Onogi

Chiral perturbation theory (ChPT) is the effective field theory of the strong interactions at low energies. We will address the issue of a consistent power counting scheme in a manifestly Lorentz-invariant formulation of baryon ChPT. As…

High Energy Physics - Phenomenology · Physics 2009-01-08 Stefan Scherer

The CKM matrix element $|V_{us}|$ can be extracted from the experimental measurement of semileptonic $K\to\pi$ decays. The determination depends on theory input for the corresponding vector form factor in QCD. We present a preliminary…

High Energy Physics - Lattice · Physics 2012-12-14 Peter A. Boyle , Jonathan M. Flynn , Andreas Jüttner , Christopher Sachrajda , Karthee Sivalingam , James M. Zanotti